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112243224 = 2332926783
BaseRepresentation
bin1101011000010…
…11001000011000
321211012112202110
412230023020120
5212213240344
615045432320
72532023502
oct654131030
9254175673
10112243224
11583a3aa5
123170b6a0
131a33c412
1410c9ad72
159cc23b9
hex6b0b218

112243224 has 96 divisors (see below), whose sum is σ = 298509120. Its totient is φ = 35156352.

The previous prime is 112243223. The next prime is 112243247. The reversal of 112243224 is 422342211.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112243224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112243223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1352287 + ... + 1352369.

It is an arithmetic number, because the mean of its divisors is an integer number (3109470).

Almost surely, 2112243224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112243224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149254560).

112243224 is an abundant number, since it is smaller than the sum of its proper divisors (186265896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112243224 is a wasteful number, since it uses less digits than its factorization.

112243224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 112243224 is about 10594.4902661714. The cubic root of 112243224 is about 482.3771317702.

Adding to 112243224 its reverse (422342211), we get a palindrome (534585435).

The spelling of 112243224 in words is "one hundred twelve million, two hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 67 83 87 116 134 166 174 201 232 249 268 332 348 402 498 536 664 696 804 841 996 1608 1682 1943 1992 2407 2523 3364 3886 4814 5046 5561 5829 6728 7221 7772 9628 10092 11122 11658 14442 15544 16683 19256 20184 22244 23316 28884 33366 44488 46632 56347 57768 66732 69803 112694 133464 139606 161269 169041 209409 225388 279212 322538 338082 418818 450776 483807 558424 645076 676164 837636 967614 1290152 1352328 1675272 1935228 3870456 4676801 9353602 14030403 18707204 28060806 37414408 56121612 112243224